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A226243
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Denominators of the probability of success in sultan's dowry problem with n daughters.
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3
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1, 2, 2, 24, 30, 180, 70, 1120, 840, 8400, 630, 83160, 72072, 1009008, 1081080, 192192, 408408, 7351344, 2217072, 8868288, 203693490, 71131060, 74364290, 4759314560, 14872858000, 77338861600, 72282089880
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OFFSET
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1,2
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LINKS
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EXAMPLE
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1, 1/2, 1/2, 11/24, 13/30, 77/180, 29/70, 459/1120, ...
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MATHEMATICA
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G[k_, n_] := G[k, n] = 1/( k + 1) Max[(k + 1)/n, G[k + 1, n]] + k/(k + 1)G[k + 1, n]; G[n_, n_] = 0; Denominator@Table[G[0, n], {n, 1, 20}]
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PROG
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(PARI) a(n)={my(g=0); forstep(k=n-1, 0, -1, g = max(1/n, g/(k+1)) + k*g/(k+1)); denominator(g)} \\ Andrew Howroyd, Nov 12 2018
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CROSSREFS
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KEYWORD
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nonn,frac
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AUTHOR
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STATUS
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approved
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